UTA-STAR Report
Generated 2025-09-01 17:30:58
Overview
This report compares two approaches under the same preference framework: (1) piecewise linear utilities (standard UTA-STAR) and (2) a linear weighted-sum baseline. It summarizes performance, utilities, and weights per subset, with plots and equations.
How this differs from a pure weighted-sum
UTA-STAR estimates per-criterion utility functions that can be non-linear, allowing different marginal returns across the criterion range. The linear baseline constrains utilities to u_i(x)=w_i·x, i.e., straight lines through the origin with slope w_i. When utilities are strongly non-linear, UTA-STAR can fit preferences better.
Benefits
- Captures non-linear preferences per criterion via breakpoints.
- Respects monotonicity and normalizes total utility.
- Comparable linear model provides interpretability and a speed baseline.
Subset: parcels_subset
Best alpha: 4 | Breakpoints: [0.00, 0.25, 0.50, 0.75, 1.00]
AvgRank (Utilities): 2194.18
AvgRank (Linear): 3674.06
Top500 (U): 11.8%
Top500 (W): 11.8%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 2.1886 * x + -1.6414
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0040 * x + -0.0020
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0010
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0774 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0193
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0193
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0193
Slope (%)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0063 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0016
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0016
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0016
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.25: u(x) = 1.7237 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.4309
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.4309
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.4309
Subset: subset_1
Best alpha: 2 | Breakpoints: [0.00, 0.50, 1.00]
AvgRank (Utilities): 25.76
AvgRank (Linear): 29.94
Top500 (U): 100.0%
Top500 (W): 100.0%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.50: u(x) = 0.0180 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0090
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0604 * x + -0.0302
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.50: u(x) = 1.8988 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0097 * x + 0.9446
Slope (%)(x) =
if 0.00 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.50: u(x) = 0.0022 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0090 * x + -0.0034
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.50: u(x) = 0.0019 * x + 0.0000
if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0010
Subset: subset_2
Best alpha: 4 | Breakpoints: [0.00, 0.25, 0.50, 0.75, 1.00]
AvgRank (Utilities): 899.08
AvgRank (Linear): 2520.50
Top500 (U): 45.8%
Top500 (W): 0.0%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0127 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0032
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0032
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0032
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 1.5199 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0049 * x + 0.3787
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.3812
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.3812
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.9673 * x + -0.2418
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.2418
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.2418
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0024 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0006
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0006
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0006
Slope (%)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0102 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0025
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0025
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0025
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 1.4802 * x + -0.7401
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.3701
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0024 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0006
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0006
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0006
Subset: subset_3
Best alpha: 4 | Breakpoints: [0.00, 0.25, 0.50, 0.75, 1.00]
AvgRank (Utilities): 14369.50
AvgRank (Linear): 17734.04
Top500 (U): 0.0%
Top500 (W): 0.0%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0112 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0055 * x + 0.0014
if 0.50 <= x <= 0.75: u(x) = 0.0003 * x + 0.0040
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0042
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0051 * x + -0.0013
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0013
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0013
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 3.9659 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0026 * x + 0.9908
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.9921
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.9921
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Slope (%)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0017 * x + -0.0004
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0004
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0004
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0010 * x + -0.0007
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0067 * x + -0.0017
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0017
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0017
Subset: subset_4
Best alpha: 3 | Breakpoints: [0.00, 0.33, 0.67, 1.00]
AvgRank (Utilities): 65.88
AvgRank (Linear): 139.70
Top500 (U): 100.0%
Top500 (W): 97.7%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0097 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0032
if 0.67 <= x <= 1.00: u(x) = 0.0109 * x + -0.0040
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 2.0085 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0038 * x + 0.6683
if 0.67 <= x <= 1.00: u(x) = 0.0002 * x + 0.6706
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Slope (%)(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0242 * x + -0.0081
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0081
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.9412 * x + -0.3137
if 0.67 <= x <= 1.00: u(x) = 0.0006 * x + 0.3133
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0007 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0002
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0002
Subset: subset_5
Best alpha: 3 | Breakpoints: [0.00, 0.33, 0.67, 1.00]
AvgRank (Utilities): 205.74
AvgRank (Linear): 236.51
Top500 (U): 100.0%
Top500 (W): 84.6%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 2.9310 * x + -0.9770
if 0.67 <= x <= 1.00: u(x) = 0.0086 * x + 0.9713
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0166 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0055
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0055
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0392 * x + -0.0131
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0131
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Slope (%)(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0046 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0015
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0015
Subset: subset_6
Best alpha: 4 | Breakpoints: [0.00, 0.25, 0.50, 0.75, 1.00]
AvgRank (Utilities): 1788.58
AvgRank (Linear): 3410.83
Top500 (U): 20.8%
Top500 (W): 4.2%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 3.9777 * x + -1.9889
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.9944
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Slope (%)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0093 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0023
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0023
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0023
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0088 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0042 * x + 0.0011
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0032
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0032
Subset: subset_7
Best alpha: 3 | Breakpoints: [0.00, 0.33, 0.67, 1.00]
AvgRank (Utilities): 156.47
AvgRank (Linear): 616.47
Top500 (U): 100.0%
Top500 (W): 64.7%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0084 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0028
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0028
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0382 * x + -0.0127
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0127
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0302 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0101
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0101
Slope (%)(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0065 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0024 * x + 0.0014
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0030
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 2.9047 * x + -0.9682
if 0.67 <= x <= 1.00: u(x) = 0.0096 * x + 0.9618
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000
if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000
if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Subset: subset_8
Best alpha: 4 | Breakpoints: [0.00, 0.25, 0.50, 0.75, 1.00]
AvgRank (Utilities): 2334.43
AvgRank (Linear): 5046.62
Top500 (U): 0.0%
Top500 (W): 0.0%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0008 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0002
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0002
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0002
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 2.1203 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0194 * x + 0.5252
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.5349
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.5349
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0096 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0024
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0024
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0024
Slope (%)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0013 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0003
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0003
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0003
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 1.8473 * x + -0.9237
if 0.75 <= x <= 1.00: u(x) = 0.0012 * x + 0.4609
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Subset: subset_9
Best alpha: 4 | Breakpoints: [0.00, 0.25, 0.50, 0.75, 1.00]
AvgRank (Utilities): 13428.68
AvgRank (Linear): 22571.39
Top500 (U): 0.0%
Top500 (W): 0.0%
Piecewise utility functions
Linear weights
Piecewise equations
Count of Structures within a Quarter Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Very High Hazard Severity Zones % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Agriculture and Fuel Break % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 2.2491 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.5623
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.5623
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.5623
Burn Scar % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Slope (%)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
WUI Coverage % within a Half Mile(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 1.7509 * x + -0.8754
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.4377
Fire Behavior Fuel Model (normalized)(x) =
if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000
if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000
if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000
if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Final Summary Table (All Subsets)
| subset |
approach |
qtrmi_s |
hvhsz_s |
agfb_s |
hbrn_s |
slope_s |
hwui_s |
fbfm_s |
avg |
min |
max |
top500 |
utilbp_qtrmi_s_0 |
utilbp_qtrmi_s_1 |
utilbp_qtrmi_s_2 |
utilbp_qtrmi_s_3 |
utilbp_qtrmi_s_4 |
utilbp_hvhsz_s_0 |
utilbp_hvhsz_s_1 |
utilbp_hvhsz_s_2 |
utilbp_hvhsz_s_3 |
utilbp_hvhsz_s_4 |
utilbp_agfb_s_0 |
utilbp_agfb_s_1 |
utilbp_agfb_s_2 |
utilbp_agfb_s_3 |
utilbp_agfb_s_4 |
utilbp_hbrn_s_0 |
utilbp_hbrn_s_1 |
utilbp_hbrn_s_2 |
utilbp_hbrn_s_3 |
utilbp_hbrn_s_4 |
utilbp_slope_s_0 |
utilbp_slope_s_1 |
utilbp_slope_s_2 |
utilbp_slope_s_3 |
utilbp_slope_s_4 |
utilbp_hwui_s_0 |
utilbp_hwui_s_1 |
utilbp_hwui_s_2 |
utilbp_hwui_s_3 |
utilbp_hwui_s_4 |
utilbp_fbfm_s_0 |
utilbp_fbfm_s_1 |
utilbp_fbfm_s_2 |
utilbp_fbfm_s_3 |
utilbp_fbfm_s_4 |
| parcels_subset |
piecewise |
0.547140 |
0.001000 |
0.000000 |
0.019339 |
0.001584 |
0.000000 |
0.430937 |
2194.176471 |
81 |
6119 |
2 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.547140 |
0.0 |
0.000000 |
0.000000 |
0.001000 |
0.001000 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.019339 |
0.019339 |
0.019339 |
0.019339 |
0.0 |
0.001584 |
0.001584 |
0.001584 |
0.001584 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.430937 |
0.430937 |
0.430937 |
0.430937 |
| parcels_subset |
linear |
0.183851 |
0.114217 |
0.000000 |
0.467179 |
0.070023 |
0.000000 |
0.164730 |
3674.058824 |
179 |
11287 |
2 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_1 |
piecewise |
0.009018 |
0.000000 |
0.030176 |
0.954284 |
0.000000 |
0.005553 |
0.000969 |
25.764706 |
5 |
80 |
17 |
0.0 |
0.009018 |
0.009018 |
NaN |
NaN |
0.0 |
0.000000 |
0.000000 |
NaN |
NaN |
0.0 |
0.000000 |
0.030176 |
NaN |
NaN |
0.0 |
0.949421 |
0.954284 |
NaN |
NaN |
0.0 |
0.000000 |
0.000000 |
NaN |
NaN |
0.0 |
0.001077 |
0.005553 |
NaN |
NaN |
0.0 |
0.000969 |
0.000969 |
NaN |
NaN |
| subset_1 |
linear |
0.046250 |
0.000000 |
0.711954 |
0.176169 |
0.000000 |
0.065627 |
0.000000 |
29.941176 |
7 |
86 |
17 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_2 |
piecewise |
0.003164 |
0.381216 |
0.241815 |
0.000602 |
0.002548 |
0.370050 |
0.000605 |
899.083333 |
159 |
2636 |
11 |
0.0 |
0.003164 |
0.003164 |
0.003164 |
0.003164 |
0.0 |
0.379981 |
0.381216 |
0.381216 |
0.381216 |
0.0 |
0.000000 |
0.241815 |
0.241815 |
0.241815 |
0.0 |
0.000602 |
0.000602 |
0.000602 |
0.000602 |
0.0 |
0.002548 |
0.002548 |
0.002548 |
0.002548 |
0.0 |
0.000000 |
0.000000 |
0.370050 |
0.370050 |
0.0 |
0.000605 |
0.000605 |
0.000605 |
0.000605 |
| subset_2 |
linear |
0.160809 |
0.305117 |
0.113166 |
0.000000 |
0.126600 |
0.294308 |
0.000000 |
2520.500000 |
853 |
4530 |
0 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_3 |
piecewise |
0.004241 |
0.001276 |
0.992131 |
0.000000 |
0.000437 |
0.000247 |
0.001667 |
14369.500000 |
563 |
37062 |
0 |
0.0 |
0.002788 |
0.004164 |
0.004241 |
0.004241 |
0.0 |
0.000000 |
0.001276 |
0.001276 |
0.001276 |
0.0 |
0.991481 |
0.992131 |
0.992131 |
0.992131 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.000000 |
0.000437 |
0.000437 |
0.000437 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000247 |
0.0 |
0.000000 |
0.001667 |
0.001667 |
0.001667 |
| subset_3 |
linear |
0.346646 |
0.024967 |
0.047711 |
0.449907 |
0.040436 |
0.000000 |
0.090333 |
17734.041667 |
2288 |
47043 |
0 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_4 |
piecewise |
0.006878 |
0.000000 |
0.670849 |
0.000000 |
0.008080 |
0.313949 |
0.000244 |
65.883721 |
2 |
242 |
43 |
0.0 |
0.003238 |
0.003238 |
0.006878 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
0.0 |
0.669511 |
0.670771 |
0.670849 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
0.0 |
0.000000 |
0.008080 |
0.008080 |
NaN |
0.0 |
0.000000 |
0.313745 |
0.313949 |
NaN |
0.0 |
0.000244 |
0.000244 |
0.000244 |
NaN |
| subset_4 |
linear |
0.243458 |
0.000000 |
0.069757 |
0.000000 |
0.480166 |
0.196271 |
0.010349 |
139.697674 |
7 |
742 |
42 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_5 |
piecewise |
0.979874 |
0.005529 |
0.013058 |
0.000000 |
0.000000 |
0.000000 |
0.001539 |
205.743590 |
7 |
423 |
39 |
0.0 |
0.000000 |
0.977010 |
0.979874 |
NaN |
0.0 |
0.005529 |
0.005529 |
0.005529 |
NaN |
0.0 |
0.000000 |
0.013058 |
0.013058 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
0.0 |
0.001539 |
0.001539 |
0.001539 |
NaN |
| subset_5 |
linear |
0.529374 |
0.289022 |
0.000000 |
0.000000 |
0.105256 |
0.000000 |
0.076348 |
236.512821 |
1 |
836 |
33 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_6 |
piecewise |
0.000000 |
0.000000 |
0.994436 |
0.000000 |
0.002320 |
0.000000 |
0.003244 |
1788.583333 |
59 |
4003 |
5 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.000000 |
0.000000 |
0.994436 |
0.994436 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.002320 |
0.002320 |
0.002320 |
0.002320 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.002197 |
0.003244 |
0.003244 |
0.003244 |
| subset_6 |
linear |
0.000000 |
0.000000 |
0.570261 |
0.000000 |
0.205618 |
0.000000 |
0.224121 |
3410.833333 |
437 |
9393 |
1 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_7 |
piecewise |
0.002786 |
0.000000 |
0.012731 |
0.010062 |
0.002982 |
0.971439 |
0.000000 |
156.470588 |
24 |
424 |
17 |
0.0 |
0.002786 |
0.002786 |
0.002786 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
0.0 |
0.000000 |
0.012731 |
0.012731 |
NaN |
0.0 |
0.010062 |
0.010062 |
0.010062 |
NaN |
0.0 |
0.002168 |
0.002982 |
0.002982 |
NaN |
0.0 |
0.000000 |
0.968237 |
0.971439 |
NaN |
0.0 |
0.000000 |
0.000000 |
0.000000 |
NaN |
| subset_7 |
linear |
0.055114 |
0.000000 |
0.123436 |
0.220579 |
0.146356 |
0.454515 |
0.000000 |
616.470588 |
149 |
2071 |
11 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_8 |
piecewise |
0.000194 |
0.000000 |
0.534939 |
0.002396 |
0.000335 |
0.462136 |
0.000000 |
2334.428571 |
1712 |
3202 |
0 |
0.0 |
0.000194 |
0.000194 |
0.000194 |
0.000194 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.530083 |
0.534939 |
0.534939 |
0.534939 |
0.0 |
0.002396 |
0.002396 |
0.002396 |
0.002396 |
0.0 |
0.000335 |
0.000335 |
0.000335 |
0.000335 |
0.0 |
0.000000 |
0.000000 |
0.461832 |
0.462136 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
| subset_8 |
linear |
0.036156 |
0.000000 |
0.000000 |
0.400499 |
0.000000 |
0.563345 |
0.000000 |
5046.619048 |
2979 |
8531 |
0 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
| subset_9 |
piecewise |
0.000000 |
0.000000 |
0.562276 |
0.000000 |
0.000000 |
0.437724 |
0.000000 |
13428.684211 |
8395 |
15993 |
0 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.562276 |
0.562276 |
0.562276 |
0.562276 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.0 |
0.000000 |
0.000000 |
0.437724 |
0.437724 |
0.0 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
| subset_9 |
linear |
0.287272 |
0.000000 |
0.000000 |
0.420331 |
0.000000 |
0.292397 |
0.000000 |
22571.394737 |
22178 |
23124 |
0 |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
NaN |
Friendly Overview
| Subset |
Approach |
AvgRank |
MinRank |
MaxRank |
Top500 |
DominantCriterion |
DominantWeight |
SecondCriterion |
SecondWeight |
| parcels_subset |
Piecewise |
2194.176471 |
81 |
6119 |
2 |
qtrmi_s |
0.547140 |
fbfm_s |
0.430937 |
| parcels_subset |
Linear |
3674.058824 |
179 |
11287 |
2 |
hbrn_s |
0.467179 |
qtrmi_s |
0.183851 |
| subset_1 |
Piecewise |
25.764706 |
5 |
80 |
17 |
hbrn_s |
0.954284 |
agfb_s |
0.030176 |
| subset_1 |
Linear |
29.941176 |
7 |
86 |
17 |
agfb_s |
0.711954 |
hbrn_s |
0.176169 |
| subset_2 |
Piecewise |
899.083333 |
159 |
2636 |
11 |
hvhsz_s |
0.381216 |
hwui_s |
0.370050 |
| subset_2 |
Linear |
2520.500000 |
853 |
4530 |
0 |
hvhsz_s |
0.305117 |
hwui_s |
0.294308 |
| subset_3 |
Piecewise |
14369.500000 |
563 |
37062 |
0 |
agfb_s |
0.992131 |
qtrmi_s |
0.004241 |
| subset_3 |
Linear |
17734.041667 |
2288 |
47043 |
0 |
hbrn_s |
0.449907 |
qtrmi_s |
0.346646 |
| subset_4 |
Piecewise |
65.883721 |
2 |
242 |
43 |
agfb_s |
0.670849 |
hwui_s |
0.313949 |
| subset_4 |
Linear |
139.697674 |
7 |
742 |
42 |
slope_s |
0.480166 |
qtrmi_s |
0.243458 |
| subset_5 |
Piecewise |
205.743590 |
7 |
423 |
39 |
qtrmi_s |
0.979874 |
agfb_s |
0.013058 |
| subset_5 |
Linear |
236.512821 |
1 |
836 |
33 |
qtrmi_s |
0.529374 |
hvhsz_s |
0.289022 |
| subset_6 |
Piecewise |
1788.583333 |
59 |
4003 |
5 |
agfb_s |
0.994436 |
fbfm_s |
0.003244 |
| subset_6 |
Linear |
3410.833333 |
437 |
9393 |
1 |
agfb_s |
0.570261 |
fbfm_s |
0.224121 |
| subset_7 |
Piecewise |
156.470588 |
24 |
424 |
17 |
hwui_s |
0.971439 |
agfb_s |
0.012731 |
| subset_7 |
Linear |
616.470588 |
149 |
2071 |
11 |
hwui_s |
0.454515 |
hbrn_s |
0.220579 |
| subset_8 |
Piecewise |
2334.428571 |
1712 |
3202 |
0 |
agfb_s |
0.534939 |
hwui_s |
0.462136 |
| subset_8 |
Linear |
5046.619048 |
2979 |
8531 |
0 |
hwui_s |
0.563345 |
hbrn_s |
0.400499 |
| subset_9 |
Piecewise |
13428.684211 |
8395 |
15993 |
0 |
agfb_s |
0.562276 |
hwui_s |
0.437724 |
| subset_9 |
Linear |
22571.394737 |
22178 |
23124 |
0 |
hbrn_s |
0.420331 |
hwui_s |
0.292397 |